Notes. The fibre numbers (Col. 1) refer to the fibres discussed by Hacar et al. (2018) that we tentatively associate with some segments of the filaments seen with ArTéMiS (Sect. 4.2). Columns 2–5 give the parameters of the best-fit models on the H₂ column density map (Fig. 3); the values in Cols. 6–8 were extracted from Fig. 10 in Hacar et al. (2018) and refer to the structures seen in N₂H⁺. Unless otherwise specified, the Plummer fits on either side of each filament segment were performed over the whole range of radii shown in Figs. 5–7, i.e. from 0 to ~0.45 pc, and the Gaussian fits from 0 to twice the simple half-power radius derived without any fitting (see text), i.e. typically ~0.08–0.1 pc. The western side of the OMC-2 segment was fitted with a Plummer model only out to a radius of 0.08 pc due to the presence of a shoulder in the background beyond that radius (see Fig. 6b); the eastern side of the OMC-1 segment was fitted out to a radius of 0.3 pc, and the western side of fibre 9 out to a radius of 0.1 pc. The values shown in parentheses denote cases where the column density profile does not exhibit clear evidence of a power-law wing (for example fibre 9; see Fig. 10), or where nearby emission strongly affects the measured profile, resulting in higher uncertainties in the fitted values.